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Finding the Third Proportional to 4,535.25 and 6,830.63

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Solution

The third proportional to 4,535.25 and 6,830.63 is: 10,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.25 : 6,830.63 = 6,830.63 : x
  2. Step 2: Convert to fraction form
    4,535.25/6,830.63 = 6,830.63/x
  3. Step 3: Cross multiply
    4,535.25x = 6,830.63 × 6,830.63
  4. Step 4: Simplify right side
    4,535.25x = 46,657,437.89
  5. Step 5: Solve for x
    x = 46,657,437.89/4,535.25
  6. Step 6: Final answer
    x = 10,287.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.